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Finding the Fourth Proportional to 15,509.88, 23,245.38 and 7,720.92

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Solution

The fourth proportional to 15,509.88, 23,245.38 and 7,720.92 is: 11,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.88 : 23,245.38 = 7,720.92 : x
  2. Step 2: Convert to fraction form
    15,509.88/23,245.38 = 7,720.92/x
  3. Step 3: Cross multiply
    15,509.88x = 23,245.38 × 7,720.92
  4. Step 4: Simplify right side
    15,509.88x = 179,475,719.35
  5. Step 5: Solve for x
    x = 179,475,719.35/15,509.88
  6. Step 6: Final answer
    x = 11,571.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.